257105563 has 16 divisors (see below), whose sum is σ = 310224096. Its totient is φ = 209917440.

The previous prime is 257105551. The next prime is 257105567. The reversal of 257105563 is 365501752.

It is a cyclic number.

It is not a de Polignac number, because 257105563 - 2¹⁷ = 256974491 is a prime.

It is a super-2 number, since 2×257105563² = 132206541051093938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257105567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19006 + ... + 29587.

It is an arithmetic number, because the mean of its divisors is an integer number (19389006).

Almost surely, 2^257105563 is an apocalyptic number.

257105563 is a deficient number, since it is larger than the sum of its proper divisors (53118533).

257105563 is a wasteful number, since it uses less digits than its factorization.

257105563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48654.

The product of its (nonzero) digits is 31500, while the sum is 34.

The square root of 257105563 is about 16034.5116233704. The cubic root of 257105563 is about 635.8731559797.

The spelling of 257105563 in words is "two hundred fifty-seven million, one hundred five thousand, five hundred sixty-three".